In this study a control oriented lean NOx trap (LNT) model was successfully developed for the LNT regeneration purpose to estimate the NOx storage fraction, NOx concentration out of an LNT catalyst and an LNT catalyst bed temperature. The LNT model consists of storage, reduction and 0-D catalyst bed temperature submodel. The model parameters were estimated by the least square fit method in the environment of MATLAB and Simulink. This model was validated through transient engine data to simulate the NEDC mode. The NOx storage fraction in the LNT catalyst can be used as a mean of the determination of the LNT regeneration timing and duration control. The catalyst bed temperature model monitors the thermal behavior. The LNT model was validated by the NEDC mode data shows less than 7% error of cumulated NOx out amount during the storage phase. In addition the catalyst bed temperature model exhibits quite similarly to the experimental data. Therefore the LNT model developed in this study can be applied to the vehicle application as an LNT regeneration control.